Given the function \( f(x)=\sqrt[3]{x} \), what is the new function when \( f(x) \) shifted up 4 units? Option \#1: \( f(x)=\sqrt[3]{x+4} \) Option \#2: \( f(x)=\sqrt[3]{x-4} \) Option \#3: \( f(x)=\sqrt[3]{x}+4 \) Option \#4: \( f(x)=\sqrt[3]{x}-4 \) (1 point) The best answer is Option \# T.

When you want to shift a function vertically upward, you simply add the number of units you want to shift to the function. In this case, shifting \( f(x) = \sqrt[3]{x} \) up by 4 units gives you \( f(x) = \sqrt[3]{x} + 4 \). So, the best answer is Option \#3! Now, if you want to visualize this, picture the original cubic root curve on a graph. When you add 4 to the function, each point on that curve moves straight up, creating a new curve that retains the same shape but is positioned higher. Fun, right? Plus, seeing the graph will clearly show how all points are uniformly elevated!